----------+---------+-------------- | | o -||--o-o--+---------+--o-o-o-o----- | | o ----------+--o-o-o--+----o--------- | | ----------+---------+-------------- | | ----------+---------+-------------- [*129b] And then seke I how often the diuisor wyll be taken from the nomber agaynste it, whiche wyll be 4 tymes and 1 remaynynge. _S._ But what yf it chaunce that when the diuisor is so remoued, it can not be ones taken out of the diuident agaynste it? _M._ Then must the diuisor be set in an other line lower. _S._ So was it in diuision by the penne, and therfore was there a cypher set in the quotient: but howe shall that be noted here? _M._ Here nedeth no token, for the lynes do represente the places: onely loke that you set your quotient in that place which standeth for vnities in respecte of the diuisor: but now to returne to the example, I fynde the diuisor 4 tymes in the diuidente, and 1 remaynynge, for 4 tymes 2 make 8, which I take from 9, and there resteth 1, as this figure sheweth: ----------+-----------+--------- | | -||--o-o--+-----------+--o------ | | o ----------+--o-o-o----+--o------ | | ----------+--o-o-o-o--+--------- | | ----------+-----------+--------- and in the myddle space for the quotient I set 4 in the seconde lyne, whiche is in this worke the place of vnities.[*130a] Then remoue I y^e diuisor to the next lower line, and seke how often I may haue it in the dyuident, which I may do here 8 tymes iust, and nothynge remayne, as in this fourme, ----------+-----------+----- | | -||--o-o--+-----------+----- | | ----------+--o-o-o----+----- | | ----------+--o-o-o-o--+----- | o | ----------+--o-o-o----+----- where you may se that the hole quotient is 348 d’, that is 29 s. wherby I knowe that so moche coste the purchace of one aker. _S._ Now resteth the profes of Multiplycatio{n}, and also of Diuisio{n}. _M._ Ther best profes are eche [*130b] one by the other, for Multyplication is proued by Diuision, and Diuision by Multiplycation, as in the worke by the penne you learned. _S._ Yf that be all, you shall not nede to repete agayne that, y^t was sufficye{n}tly taughte all redye: and excepte you wyll teache me any other feate, here maye you make an ende of this arte I suppose.